作业(1+1\2)× (1-1\2)×(1+1\3)× (1-1\3)×...×(1+1\9)×(1-1\9)

发布时间:2020-07-31 21:38:47

(1+1\2)× (1-1\2)×(1+1\3)× (1-1\3)×...×(1+1\9)×(1-1\9)

网友回答

解:
(1+1/2)*(1-1/2)*(1+1/3)*(1-1/3)*...*(1+1/99)*(1-1/99)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)……(1-1/99)(1+1/99)
=(1/2)(3/2)(2/3)(4/3……(98/99)(100/99)
中间约分
=(1/2)x(100/99)
=50/99
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